Exploratory analysis of scalar fields on surface meshes presents significant challenges in identifying and visualizing important regions, particularly on the surface's backside. Previous visualization methods achieved only a limited visibility of significant features, i.e., regions with high or low scalar values, during interactive exploration. In response to this, we propose a novel technique, InverseVis, which leverages curved sphere tracing and uses the otherwise unused space to enhance visibility. Our approach combines direct and indirect rendering, allowing camera rays to wrap around the surface and reveal information from the backside. To achieve this, we formulate an energy term that guides the image synthesis in previously unused space, highlighting the most important regions of the backside. By quantifying the amount of visible important features, we optimize the camera position to maximize the visibility of the scalar field on both the front and backsides. InverseVis is benchmarked against state-of-the-art methods and a derived technique, showcasing its effectiveness in revealing essential features and outperforming existing approaches.

翻译：在表面网格标量场的探索性分析中，识别和可视化重要区域（尤其是表面背面的区域）面临显著挑战。以往的交互式探索可视化方法对显著特征（即标量值高或低的区域）仅能实现有限的可见性。针对这一难题，我们提出一种名为InverseVis的创新技术，该技术利用曲面球体追踪并借助原本未使用的空间增强可见性。我们的方法结合了直接渲染与间接渲染，使相机光线能够环绕表面揭示背面的信息。为实现这一目标，我们构建了一个能量项，用于引导原本未使用空间中的图像合成，突出显示背面最重要的区域。通过量化可见重要特征的数量，我们优化相机位置以最大化标量场在正面和背面的可见性。与前沿方法及衍生技术的基准测试表明，InverseVis能有效揭示关键特征，性能优于现有方法。